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ln this dissertation we investigate boundary properties of an arbitary meromorphic function defined on the open unite disk of the complex plane. It is proved that the assertions which give necessary and sufficient conditions for an arbitary meromorphic function on the unit disk to have an angular and oricyclic boundary value in terms of the cluster set and the normality of a function. The main role for the existence of these boundary values has the normality of meromorphic function with respect to the hyperbolic and parabolic dynamical system a semigroup which is generated by a hyperbolic or parabolic element of the group of all conformal automorphisms of the disk with the attractive point in the unit circle.